Functional Analysis in Applied Mathematics and Engineering (Studies in Advanced Mathematics) - Softcover

Buch 20 von 23: Studies in advanced Mathematics

Pedersen, Michael

 
9780367399412: Functional Analysis in Applied Mathematics and Engineering (Studies in Advanced Mathematics)
Softcover
ISBN 10: 0367399415 ISBN 13: 9780367399412
Verlag: CRC Press, 2019

Inhaltsangabe

Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering.

This text/reference discusses:

  • rudimentary topology
  • Banach's fixed point theorem with applications
  • L^p-spaces
  • density theorems for testfunctions
  • infinite dimensional spaces
  • bounded linear operators
  • Fourier series
  • open mapping and closed graph theorems
  • compact and differential operators
  • Hilbert-Schmidt operators
  • Volterra equations
  • Sobolev spaces
  • control theory and variational analysis
  • Hilbert Uniqueness Method
  • boundary element methods

    Functional Analysis in Applied Mathematics and Engineering begins with an introduction to the important, abstract basic function spaces and operators with mathematical rigor, then studies problems in the Hilbert space setting. The author proves the spectral theorem for unbounded operators with compact inverses and goes on to present the abstract evolution semigroup theory for time dependent linear partial differential operators. This structure establishes a firm foundation for the more advanced topics discussed later in the text.

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    Über die Autorin bzw. den Autor

    Pedersen, Michael

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    Verlag
    CRC Press
    Erscheinungsdatum
    2019
    Sprache
    Englisch
    ISBN 10 
    0367399415
    ISBN 13 
    9780367399412
    Einband
    Taschenbuch
    Auflage
    1
    Anzahl der Seiten
    312
    Kontakt zum Hersteller
    preigu GmbH & Co. KG
    mail@preigu.de

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    Osnabrück
    Niedersachsen
    49078
    Deutschland

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    Vorgestellte Ausgabe

    ISBN 10:  0849371694 ISBN 13:  9780849371691
    Verlag: CRC Press, 1999
    Hardcover